The Royals will kick off the season with a home clash against Ipswich and Zingarevich expects Nigel Adkins to secure an immediate return to the Premier League following last term's relegation.
"If we have that mentality, and we're successful, then we'll be back in the Premier League," he told Reading 107FM.
"Of course the ambition and the objective is to win the league. That's the only thing that we, as a football club, want to achieve. We've had board meetings where we've discussed this.
"We all have that message throughout the club that we want to win the league. Everything is there for us to achieve that.
"We've done it before, so the players and the staff know what needs to be done to win the league. But now we've also had the Premier League experience.
"The Championship is an interesting competition on its own. Of course, you want to be in the Premier League, but the Championship is a good league. The level of football is getting better and better. The league is competitive and because it's so competitive, every supporter enjoys winning and that's something we will definitely like to achieve.
"The message should be clear - we want to try and win every game. If we have that mentality, and we're successful, then we'll be back in the Premier League."